In accordance with an aspect of the present disclosure, a conformable high pressure gas fuel storage system has a high pressure gaseous storage vessel with a central section disposed between end sections and in fluid communication therewith. The end and central sections have hollow geometric objects. The geometric objects have self-similarity providing the gas storage vessel with a fractal geometry. Each geometric object of each end section branches into a plurality of the geometric objects of the central section. The geometric objects of the central section have a smaller cross-section and thinner outer wall than the geometric objects of the end sections. The geometric objects of at least the central section are formable with bends to a configuration to conform the gas storage vessel to a space in a vehicle in which the gas storage vessel is packaged.